Question

Match each equation to its graph. Use the drop-
down menus to describe the equations.

Answer 1

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

Answer 2

The correct option for the equations are:

1. y=x+1 : Option D
2. y=x²: Option A
3. y=(3/2)ˣ: Option B
4. y=(x²+2)/(x²-2) : Option C

What is a linear equation?

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

What is a quadratic equation?

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

1. y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.
2. y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.
3. y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.
4. y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.

Therefore the correct option for the equations are:

1. y=x+1 : Option D
2. y=x²: Option A
3. y=(3/2)ˣ: Option B
4. y=(x²+2)/(x²-2) : Option C

Learn more about linear equation

here: https://brainly.com/question/14323743

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